Finite Group Databasebeta

← Group #282109

Character table — Group #282109

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444488888888888888888888888822244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-111-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-11
χ11111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11111-1-1-11
χ12111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1111-1
χ13111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-11-1
χ15111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11-1-111-1-1-11
χ172222222222222-2-222-2-2222-2-2-2-2-20000000000000000000000002002-2-200000000
χ182222222222222-2-222-2-2222-2-2-2-2-2000000000000000000000000-200-22200000000
χ19222222222-2-2-2-2-2-222-2-22-2-2-2-2222000000000000000000000000200-22-200000000
χ20222222222-2-2-2-2-2-222-2-22-2-2-2-2222000000000000000000000000-2002-2200000000
χ2122222222-2222222-2-222-2-2-2-2-222-222-2-222-2-2000000000000000000000000000000
χ2222222222-2222222-2-222-2-2-2-2-222-2-2-222-2-222000000000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ2522222222-2-2-2-2-222-2-222-222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-222-2-222-222-2-2-2-22-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ2922-2-2-222-202i2i−2i−2i2-2002-2000002i−2i0002-2002i−2i0000000022−2−2i2i2−i2−i2000000002−2i2−i200
χ3022-2-2-222-202i2i−2i−2i2-2002-2000002i−2i0002-2002i−2i00000000−2−222−i2−i2i2i200000000−22−i2i200
χ3122-2-2-222-202i2i−2i−2i2-2002-2000002i−2i000-2200−2i2i0000000022−2−2i2i2−i2−i200000000−22−i2i200
χ3222-2-2-222-202i2i−2i−2i2-2002-2000002i−2i000-2200−2i2i00000000−2−222−i2−i2i2i2000000002−2i2−i200
χ3322-2-2-222-20−2i−2i2i2i2-2002-200000−2i2i0002-200−2i2i0000000022−2−2−i2−i2i2i2000000002−2−i2i200
χ3422-2-2-222-20−2i−2i2i2i2-2002-200000−2i2i0002-200−2i2i00000000−2−222i2i2−i2−i200000000−22i2−i200
χ3522-2-2-222-20−2i−2i2i2i2-2002-200000−2i2i000-22002i−2i0000000022−2−2−i2−i2i2i200000000−22i2−i200
χ3622-2-2-222-20−2i−2i2i2i2-2002-200000−2i2i000-22002i−2i00000000−2−222i2i2−i2−i2000000002−2−i2i200
χ372-22-2-22-2220000222-2-2-2-2002-20000000000000002i−2i2i−2i2i−2i2i−2i00000000002-2000000
χ382-22-2-22-2220000222-2-2-2-2002-20000000000000002i−2i2i−2i−2i2i−2i2i0000000000-22000000
χ392-22-2-22-2220000222-2-2-2-2002-2000000000000000−2i2i−2i2i2i−2i2i−2i0000000000-22000000
χ402-22-2-22-2220000222-2-2-2-2002-2000000000000000−2i2i−2i2i−2i2i−2i2i00000000002-2000000
χ412-22-2-22-22-20000-2-2-22222002-20000000000000002-2-2200002-22-202-200000000000
χ422-22-2-22-22-20000-2-2-22222002-20000000000000002-2-220000-22-220-2200000000000
χ432-22-2-22-22-20000-2-2-22222002-2000000000000000-222-200002-22-20-2200000000000
χ442-22-2-22-22-20000-2-2-22222002-2000000000000000-222-20000-22-2202-200000000000
χ4544-44-4-4-444000000-4400-40000000000000002i2−2i22i2−2i200000000000000000000000000
χ4644-44-4-4-444000000-4400-4000000000000000−2i22i2−2i22i200000000000000000000000000
χ4744-44-4-4-44-40000004-400400000000000000022−22−222200000000000000000000000000
χ4844-44-4-4-44-40000004-4004000000000000000−222222−2200000000000000000000000000
χ4944-4-4-444-404i4i−4i−4i-4400-4400000−4i4i000000000000000000000000000000000000000
χ5044-4-4-444-40−4i−4i4i4i-4400-44000004i−4i000000000000000000000000000000000000000
χ514-444-4-44-404i−4i4i−4i0000000000000022−22002i2−2i200000000000000000000000000000000
χ524-444-4-44-404i−4i4i−4i00000000000000−222200−2i22i200000000000000000000000000000000
χ534-444-4-44-40−4i4i−4i4i0000000000000022−2200−2i22i200000000000000000000000000000000
χ544-444-4-44-40−4i4i−4i4i00000000000000−2222002i2−2i200000000000000000000000000000000
χ554-44-4-44-4440000-4-44-444-400-4400000000000000000000000000000000000000000
χ564-44-4-44-44-4000044-44-4-4400-4400000000000000000000000000000000000000000
χ574-4-4444-4-4000004-400-440000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-4-4444-4-4000004-400-44000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-4444-4-400000-44004-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ604-4-4444-4-400000-44004-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ614-4-4-44-44444-4-4400-4-40044-40000000000000000000000000000000000000000000
χ624-4-4-44-4444-444-400-4-4004-440000000000000000000000000000000000000000000
χ634-4-4-44-444-44-4-44004400-4-440000000000000000000000000000000000000000000
χ644-4-4-44-444-4-444-4004400-44-40000000000000000000000000000000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).